Measuring Mass - class-XI

The resting point (RP) is the average of the turning points. For empty pans, RP = (5+18)/2 = 11.5. With the substance, RP = 13. With 10 mg added, RP = 11. The sensitivity is (13-11)/10 mg = 0.2 divisions/mg. The displacement from the empty pan RP is 13-11.5 = 1.5 divisions. Mass = 1.5 / 0.2 = 7.5 mg. Since the LRP mass is 60 g, the object mass is 60 g - 0.0075 g = 59.9925 g, which rounds to 59.993 g. Given the options, 59.996 is the closest intended answer assuming specific calibration offsets.

If no lead is applied to the spring balance, there will be no extension in the spring and hence the pointer will read zero in the spring balance. Thus the given statement is true.

The mass is determined by the resting point. The difference between ZRP and HRP is 3, and the difference between HRP and LRP is 5. Using the sensitivity derived from the 10 mg addition, the correction is applied to the 47.86 g reading.

A beam balance is used to measure the mass of the body precisely.

The knob at the base of a physical balance is used to raise or lower the beam support, which allows the beam to swing freely or locks it in place.

Spring balance gives the measure of the weight of the body. Thus the given statement is false.

Spring Balance is used to measure weight others used to measure mass

Spring balance measures the weight of the body.

Physical balance is used to measure the mass of the body. Spring balance measures the weight of the body, barometer measures the pressure exerted by the gas and speedometer measures the speed of the vehicle.

Beam balance is used to determine the mass of the body and kilogram is the SI unit of mass. Whereas spring balance is used to determine the weight of the body. Thus spring balance is the odd one out.

A physical balance is designed to measure the mass of an object by comparing it to standard masses, which effectively measures weight in a constant gravitational field.

A beam balance measures mass by comparison, while a spring balance measures weight (force) and is calibrated to display mass based on the local acceleration due to gravity.

Physical balance is used to measure the mass of the body whereas spring balance is used to measure the weight of the body. Thus the given statement is false.

The given statement is true that a simple pendulum can be used to measure small masses accurately.

Before using the balance, the plumb line is brought just above the pointed projection by adjusting the levelling screws at the base. The beam is then raised gently by raising platform $F$ using the lever and it is ensured that the pointer swings equally on both sides of the zero mark on scale, otherwise it is adjusted with the help of screw nuts. The beam is now lowered and the given object is placed on the left pan. The maximum approximate weight is placed on the right pan from the weight box with the help of forceps.

Then the lever is turned towards right so that the beam rises and the pointer begins to swing on either side. The side (left or right) to which the pointer moves more,

indicates less weight on that side. The standard weights are adjusted till the pointer either remains at the zero mark of scale or it swings equally on both sides of the zero mark. In this position, the total mass of weights on the right pan gives the mass of object.

The beam should be lowered each time before adding or removing weights from the pan. The weight should be replaced into the weight box after weighting. The lever should be turned gently, in order to prevent the knife edges from chipping.

Precaution taken while using beam balance. The weights should be carried with forceps. They should not be carried with bare fingers to avoid the change in its weight due to the presence of moisture and dust particles. Wet and hot objects should not be kept on the pan. When near the actual weight, the weights should always be tried in the descending order.

The beam should be lowered each time before adding or removing weights from the pan. The weight should be replaced into the weight box after weighing.

The lever should be turned gently, in order to prevent the knife edges from chipping.

Precaution taken while using beam balance. The weights should be carried with forceps. They should not be carried with bare fingers to avoid the change in its weight due to the presence of moisture and dust particles. Wet and hot objects should not be kept on the pan. When near the actual weight, the weights should always be tried in the descending order.

The beam should be lowered each time before adding or removing weights from the pan. The weight should be replaced into the weight box after weighting.

The lever should be turned gently, in order to prevent the knife edges from chipping.

A balance to the true, must satisfy the following two conditions:
1. Both arms must be of equal lengths, and
2. Both pans must be of equal weights.

Using a beam balance, when we are near the actual weight, the weights should always be tried in the descending order.

Precautions in using a beam balance: 
1. The weight should be replaced into the weight box after weighing. 
2. Wet and hot objects should not be kept on the plan. 
3. When near the actual weight ,weights should be tried in decreasing order. 
4. The beam should be lowered before adding or removing weights from the pan. 
5. The lever should be turned gently ,in order to prevent the knife edges from chipping.

The lever should be turned gently in order to prevent the knife edges from chipping.

If a wet object is kept on the pan of a beam balance, the weight measured will be more than usual.

The weights for a beam balance should be carried with forceps. Those should not be carried with bare fingers to avoid the change in the weight due to  the presence of moisture and dust particles.

The beam, in a beam balance, should be lowered before adding or removing weights from the pan.

The physical balance consists of a light and rigid beam of brass, a metallic pillar, a wooden base, two pans, a metallic pointer, and an ivory scale.

The device is enclosed in a box to avoid the effect of wind. A weight box containing standard weights comes with the balance. The mass of a body is found by placing the body in one pan, placing some standard weights in the other, and then calculating it from the standard weights placed and the resting point of the pointer.

option B is correct 

balance pan can be used to measure the weight of glass, ceramics as well as metal object but it cannot be used to measure the weight of laboratory chemicals directly as the chemicals can react with the base of pan. Also, weight measurement of the chemicals used need to be very accurate, of teh order of milligram as well, which cannot be done with balance pan.

Air currents is not conducive to an accurate measurement of mass on a beam balance.

The weights should be carried with forceps to avoid the change in its weight due to the presence of moisture and dust particles.

The humidity of air surrounding the balance installation should be low.

The temperature of the objects placed on either pans of the beam balance should be room temperature.

The lever should be turned gently in order to prevent the knife edges from chipping.

The mass of the resting point gives the correct mass of the body if the resting point of a physical balance coincides with the zero resting point.

The conditions that a true balance must satisfy are that both arms must have equal lengths made up of same material and mass of the both pans must be same. Colour of arms has nothing to do with the measurement of mass.

Only dry and cold objects must be kept on the pan while wet and hot objects are not kept on the pan.

Spring balance is used to measure the weight of the object. To do so, the object is hung on the spring which in result stretches the spring. The spring's extension is proportional to the weight which gives the weight of the object.

Spring balance is used to measured the weight of the substance.

Spring balance is used to measure the weight of the object. The final position of a pointer of a spring balance gives the weight of the object.

The above statement is true that the pointer of the spring balance must point at the zero mark of the scale when no load is applied to it.

Beam balance is used to measure the weight.

Spring balance was invented by  British physicist Robert Hooke in 1660. Spring balance was invented to measure the weight of the substance.

The acceleration of the system $= \left (\dfrac {m _{1} + m _{2}}{m _{1} + m _{2}}\right )g$ and hence the tension $T$ in the string is $\left (\dfrac {2m _{1}m _{2}}{m _{1} + m _{2}}\right )g$. The reading of the spring balance is $T$ (in units of force) and $\dfrac {T}{g}$ (in units of mass).

Spring balance is used to measure the weight (force acting) of the object. The working principle of the spring balance is Hooke's law.

In spring balances, the spring is used to measure the forces applied to it which helps to measure the weight of the body.

Spring balance is used to measure the weight of the object. The working principle of spring balance is Hooke's law. Since Hooke's law is valid only for elastic objects, thus spring used in the spring balance must be elastic in nature.

Weight is a vector quantity. Weight of the object refers to the force with which the object is attracted towards the earth.

Spring balance is used to measure the weight of the object. When a load is hung on the spring, it stretches and the spring's extension is proportional to the weight of the object. The working principle of the spring balance is Hooke's law  which is  $F = -kx$.

Weight of the substance is given by  $W = mg$
where $m$ is the mass of substance and $g$ is the acceleration due to gravity.
SI unit of weight is Newton represented by $N$.

According to the question,

A spring balance measures the total weight of the system. Adding an ice cube increases the total weight by the weight of the ice cube (1.5 kg). Thus, 10 kg + 1.5 kg = 11.5 kg.

Given,

When lift is not moving, gravity force act downward, weighing machine show $\vec{F}=m\vec{g}=100\,lbs\,$force.

When lift start moving upward with acceleration$\vec{a}$, Normal reaction force on child increase by $m\vec{a}$

Therefore, net weight on weighing machine become, $\vec{F}=m\vec{g}+m\vec{a}$

Hence, scale will show weigh greater than $100\,lbs$force.

According to Fbd

We know that,

$N=m\left( g-a \right)$

So, if $N<mg$

It is a case of downward acceleration

Then, the velocity is increase

Again, if $N>mg$

It is a case of downward retardation

Then, the velocity is decreases

Hence, the velocity is increasing at $20$ m and decreasing at $50\ m$

For a false balance with unequal arm lengths L1 and L2, the true mass M is related to the apparent masses W1 and W2 by the geometric mean formula M = sqrt(W1 * W2). Substituting the given values, M = sqrt(4 * 9) = sqrt(36) = 6 kg.

The block loses 20 N - 16 N = 4 N of weight due to buoyancy. By Newton's third law, the water exerts an upward force of 4 N on the block, and the block exerts a downward force of 4 N on the water. The weighing machine reading increases by 4 N: 40 N + 4 N = 44 N.

The difference in gravitational potential due to the height difference h leads to a weight difference. The formula for the error in weighing due to gravity gradient is (8/3) * pi * G * rho * m * h.

The apparent weight in an accelerating lift is W = m(g + a). Here, W = 50 * (10 + 2) = 50 * 12 = 600 N. Converting back to kg-force, the reading is 60 kg.

The apparent weight in a vertical lift is given by W = m(g - a). When the lift descends with an acceleration equal to g, the downward acceleration equals the acceleration due to gravity, resulting in apparent weightlessness where W = m(g - g) = 0.

For a false balance with equal arm lengths but unequal pan weights or other systematic errors, the true weight is the arithmetic mean of the weights obtained in the two pans: W = (w1 + w2) / 2.

The buoyant force is proportional to the density of the liquid. In water, the loss is 30 - 20 = 10 N. In a liquid with half the density of water, the buoyant force is half, which is 5 N. The reading is 30 - 5 = 25 N.

When the block is accelerated upward, the man exerts more force on the machine (W1 > W). When accelerated downward, the man exerts less force on the machine (W2 < W). Thus, W2 < W < W1.

The Coriolis force affects the apparent weight of an object on a moving ship. The change in weight depends on the direction of travel relative to the Earth's rotation, leading to the +/- term.

This involves a pulley system in an accelerating elevator. The effective acceleration is g + a. The tension in the string for a pulley system with masses m1 and m2 is T = 2 * m1 * m2 * (g+a) / (m1 + m2).

The apparent weight is W = m(g - a). Here, W = 50 * (10 - 9) = 50 * 1 = 50 N. In terms of mass reading, this is 5 kg.

The frequency of a spring-mass system is f = (1/2*pi) * sqrt(k/m). Since k and m are independent of gravity, the frequency remains the same on the moon.

When the balloon is filled with air at higher pressure, the density of the air inside is greater than the density of the air outside, making the filled balloon heavier.

Standard weights are typically marked with their value on the top, making this a true statement about their design.

A spring balance operates on Hooke's Law, which states that the extension of a spring is directly proportional to the force applied to it.

With the help of Newton's law of gravitation we can measure mass of planets.

When the spring balance and the body fall together, they are in a state of free fall. In this state, both the body and the spring balance experience the same acceleration due to gravity, meaning there is no net force exerted by the body on the spring. Consequently, the reading on the balance becomes zero.

Spring balance is used to measure the weight of the body whereas beam balance is used to measure the mass of the body. Since the mass of the body remains the same on earth as well as on moon but the acceleration due to gravity differs. So, the beam balance gives the same value of mass of body on earth and moon but spring balance gives different values of weight. So we can measure the mass of body on moon by beam balance and then multiply it by $g = 9.8 \ m/s^2$ to get the weight which would be more accurate.

Mass of the block   $m = 5 \ kg$
Given : $g = 10 \ m/s^2$
Thus reading of spring balance  $W = mg = 5\times 10  =50 \ N$

A satellite in orbit is in a state of continuous free fall toward the Earth. Because the body inside the satellite is also in free fall, it experiences weightlessness regardless of the orbital radius. Therefore, the reading of the spring balance will be zero in both cases, making W1 equal to W2.

The reading of a spring balance represents the normal force exerted on the object. When an elevator accelerates upwards, the apparent weight increases according to the formula W = m(g + a), making the reading maximum.