Mechanics | Relativity Answers

A person in an elevator accelerating upwards with an acceleration of 2m/sec^2, tosses a coin vertically upwards with a speed of 20m/sec. After how much time will a coin fall back into his hand?(g=10m/sec^2)
(1)1.3
(2)2.3
(3)3.3
(4)4.3
All are in seconds.

On Jupiter a day lasts for 9.9 earth hours and the circumference at the equator is
448600 km. If the measured value of gravitational acceleration at the equator is 24 6. ms ,−2
what is the true gravitational acceleration and the centrifugal acceleration.

How many joules of work are done if you carry a box that weights 34 newtons up a ladder for a distance of 2 meters?

A gyroscope has a radius of 3 cm. Using a string wrapped around its central axis, you apply a constant torque for 3 seconds, which results in an angular acceleration of 5 rad/s^2 during that time. Assuming it started at rest, what is the gyroscope's instantaneous angular velocity after 3 seconds?

Nathaniel is driving his sports car down a four-lane highway at 40m/s. He comes up behind a slow-moving dump truck and decides to pass it in the left-hand lane. If Nathaniel can accelerate at 5m/s/s, how long will it take for him to reach the speed of 60m/s?

which has greater deceleration, a bicycle slowing from 3 m/s to a stop in 6 seconds or a car slowing from 20 m/s to 15 m/s in 6 seconds

a particle move along the parabolic path x= y^2 + 2y + 2 in such a way that the y component of velocity vector remains 5m/s during the motion. The magnitude of the acceleration of particle is?
1. 50m/s^2
2. 100m/s^2
3. 10√2 m/s^2
4. 0.1m/s^2

a ball is projected from a certain point on the surface of a planet at a certain angle with the horizontal surface. The horizontal and vertical displacement x and y vary with time t in seconds as,x= 10√(3t) and y=10-t^2. Maximum height attained by the ball?
1. 100m
2. 75m
3. 50m
4. 25m

A100 kg car is moving with a velocity of 100 m/s. How fast should a 250 kg motorcycle move to have the same kinetic energy as the truck

The acceleration, a, of an object produced when a force is applied is given by the following formula, where F represents the force acting on the object and m represents the mass of the object.

a=F/m

If a has units of meters per second squared and m has units of grams, what must be the units of F?

A. grams
B. meters per second
C. grams·meters per second
D. grams·meters per second squared