Mechanics | Relativity Answers

Explain the following observation on the basis of theory of relativity, the half-life of a

particular particle as measured in the laboratory comes out to be 4.0 × 10-8 s when its speed is 0.8c

and 3.0 × 10-8 s when its speed is 0.6c.

A projectile is launched with 30m/s at an angle of 60°with the horizontal.(a) find the position of the projectile, and the magnitude and direction of its velocity at t=2s (b) find the time when the ball reaches the highest point.(c) find the horizontal range

an object of mass 3.0 kg moving with an initial velocity of 5.0i m/s collide and sticks to an object of mass 2.0 kg with an initial velocity of -3.0j m/s find the final velocity of the composite object.

• 10. A rocket ship has a mass of 1.50 x 105 kg. Its relativistic momentum is 3.00 x 1012 kg•m/s. How fast is the rocket ship traveling?

• How fast would a meterstick be moving so that its length will be observed to shrink to half its original length?

• How much work must be done to a proton to accelerate it from rest to 0.998c.

• A person on Earth observes a space ship approaching from the right with a velocity of 0.75c and a rocket ship approaching from the left at 0.50c. What is the relative velocity of the two ships as measured by a passenger in each of them?

A ball rolls off the edge of a horizontal platform 2meters high and lands 2.5 meters from the edge of the platform. Find (a) the time of its flight and; (b) its initial horizontal velocity

A car is accelerated uniformly at 0.15 m per second squared to a speed of 15 m/s.the speed is maintained for 3min,and it is retardaded uniformly to come rest in 8min after starting.draw the velocity time graph and use it to find the average velocity.

What is the distance of center of gravity from center of buoyancy, if the depth of center of gravity from the top of the barge is 0.55m?

A Ricocheting Bullet.

0.100-kg stone rests on a frictionless, horizontal surface. A bullet of mass 6.00 g, traveling

horizontally at 350 m/s, strikes the stone and rebounds horizontally at right angles to its original direction with a speed of 250

m/s.

(a)

Compute the magnitude and direction of the velocity of the stone after it is struck.

(b)

Is the collision perfectly elastic?

A 0.150-kg frame, when suspended from a coil spring, stretches the spring 0.050 m. A

0.200-kg lump of putty is dropped from rest onto the frame from a height of 30.0 cm (Fig.).

Find the maximum distance the frame moves downward from its initial position.

the

spring to

find the force constant

k

of the spring. Let

s

be the amount the spring is stretched.

A 0.150-kg frame, when suspended from a coil spring, stretches the spring 0.050 m. A

0.200-kg lump of putty is dropped from rest onto the frame from a height of 30.0 cm (Fig.).

Find the maximum distance the frame moves downward from its initial position.

the

spring to

find the force constant

k

of the spring. Let

s

be the amount the spring is stretched.