Answer:

Explanation:
Given:
- angle of launch of projectile from horizontal,

- range of projectile,

<u>We have formula for the range of projectile:</u>

putting the respective values

is the velocity with which Tom should jump to land on the other roof.
Answer:
The speed of disk is 1.98 
Explanation:
Given:
Mass of
kg
Spring constant 
Compression of spring
m
From energy conservation theorem,
Spring potential energy converted into kinetic energy,




Therefore, the speed of disk is 1.98 
<em>A simple metallic band model is proposed for the transition metal mono antimonides, by analogy to the transition metals.</em>

<u>Explanation:</u>
Velocity of B₁ = 4.3m/s
Velocity of B₂ = -4.3m/s
For perfectly elastic collision:, momentum is conserved

where,
m₁ = mass of Ball 1
m₂ = mass of Ball 2
v₁ = initial velocity of Ball 1
v₂ = initial velocity of ball 2
v'₁ = final velocity of ball 1
v'₂ = final velocity of ball 2
The final velocity of the balls after head on elastic collision would be

Substituting the velocities in the equation

If the masses of the ball is known then substitute the value in the above equation to get the final velocity of the ball.
Impulse = Force * times and also Impulse = change in momentum.
Given that the mass does not change, change if momentum = mass * (final velocity - initial velocity)
Given that you know mass and initial velocity (which is the velicity before the cart hits the wall) you need the final velocity (which is the velocity after the cart hits the wall).
Answer: the velocity of the cart after it hits the wall.