Mechanics | Relativity Answers

If a force of 80N extends a spring of natural length 8m by 0.4m what will be the length of the spring when the applied force is 100N

A wire of cross-sectional area of
6×10−5m2
and length 50cm stretches by 0.2mm under a load of 3000N. Calculate the Young’s modulus for the wire

8×1010Nm−2

1:25×1011Nm−2

2:5×1011Nm−2

5×1011Nm−2

An engine absorbs 2000J of heat from a hot reservoir and expels 750J to a cold reservoir during each operating cycle. What is the power output of the engine if each cycle lasts for 0.5 seconds?

A ball of mass 1.5 kg rolling to the right with a speed of 3.6 ms^-1
collides head-on with
a spring with a spring constant of 2.0 Nm^-2
Determine the maximum compression of the
spring and the speed of the ball when the compression of the spring is 0.10 m.

What is the maximum torque exerted by a 60 kg person riding a bike, if the rider puts all
his weight on each pedal when climbing a hill? The pedals rotate in a circle of radius
17 cm.

A force =A=(x/a -1) is acting on a particle along the x -axis. Determine the work
done by the force in moving the particle from x=0 to x=2a

A bullet is fired through a board 10.0 cm thick in such a way that the bullet’s line of motion is perpendicular to face of the board. If the initial speed of the bullet is 400 m/s and it emerges from the other side of the board with a speed of 300 m/s, find (a) the acceleration of the bullet as it passes through the board and (b) the total time the bullet is in contact with the board.

Figure 2 A new car is tested on a 150 m radius track. If the car speeds
up at an acceleration of 1.5 m/s2, how long after starting is the
magnitude of its centripetal acceleration equal to the tangential
acceleration?

) A truck on a straight road starts from rest and accelerates at 1.0 m/s2 until it reaches a speed of 10 m/s. Then the truck travels for 30 s at the constant speed of 10 m/s until the brakes are applied, stopping the car in a uniform manner in an additional 5.0 s. How long is the truck in motion and what is its average velocity during the motion?

A horizontal force of only 5 N moves a cake of ice with constant speed across a floor (µ=0.1).
(a) What is the weight of the ice?