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A person of mass $60 \text{ kg}$ is inside a lift of mass $940 \text{ kg}$ and presses the button on control panel. The lift starts moving upwards with an acceleration $1.0 \text{ m/s}^2$. If $g=10 \text{ m/s}^2$, the tension in the supporting cable is:
For very high frequencies, the effective impedance of the circuit (shown in the figure) will be:
Three charges $+4q$, $Q$ and $q$ are placed in a straight line of length $l$ at points $0$, $l/2$ and $l$ distance away from one end respectively. What should be $Q$ in order to make the net force on $q$ to be zero?
In the figure given below, the position-time graph of a particle of mass 0.1 kg is shown. The impulse at t = 2 sec is:
If a person with a spring balance and a body hanging from it goes up and up in an aeroplane, then the reading of the weight of the body as indicated by the spring balance will:
A roller coaster is designed such that riders experience "weightlessness" as they go around the top of a hill whose radius of curvature is $20 \text{ m}$. The speed of the car at the top of the hill is between:
A body of mass $M$ hits normally a rigid wall with velocity $v$ and bounces back with the same velocity. The impulse experienced by the body is:
On the horizontal surface of a truck ($\mu = 0.6$), a block of mass 1 kg is placed. If the truck is accelerating at the rate of $5 \text{ m/s}^2$, then the frictional force on the block will be:
An object with a mass 10 kg moves at a constant velocity of $10 \text{ m/s}$. A constant force then acts for 4 seconds on the object and gives it a speed of $2 \text{ m/s}$ in the opposite direction. The acceleration produced in it is:
A body, whose momentum is constant, must have a constant:
A player caught a cricket ball of mass 150 g moving at a rate of 20 m/s. If the catching process be completed in 0.1 s, then the force of the blow exerted by the ball on the hands of the player is:
Starting from rest, a body slides down a 45° inclined plane in twice the time it takes to slide down the same distance in the absence of friction. The coefficient of friction between the body and the inclined plane is:
Identify the mixture of metals that contain a non-metal as a constituent in it.
The coefficient of static friction, $\mu_s$, between block A of mass 2 kg and the table as shown in the figure is 0.2. What would be the maximum mass value of block B so that the two blocks do not move? The string and the pulley are assumed to be smooth and massless. ($g = 10 \text{ m/s}^2$)
The product formed in the following reaction sequence is:
A vehicle of mass $m$ is moving on a rough horizontal road with momentum $p$. If the coefficient of friction between the tyres and the road be $\mu$, then the stopping distance is:
A cricket ball of mass 250 g collides with a bat with velocity 10 m/s and returns with the same velocity within 0.01 second. The force acted on bat is:
A body, under the action of a force $\vec{F} = 6\hat{i} - 8\hat{j} + 10\hat{k}$, acquires an acceleration of $1 \text{ m/s}^2$. The mass of this body must be:
Two bodies of mass $3 \text{ kg}$ and $4 \text{ kg}$ are suspended at the ends of a massless string passing over a frictionless pulley. The acceleration of the system is ($g = 9.8 \text{ m/s}^2$)
A steady current of 1.5 A flows through a copper voltmeter for 10 min. If the electrochemical equivalent of copper is $30 \times 10^{-5} \text{ g C}^{-1}$, the mass of copper deposited on the electrode will be: