Kinetic energy is equal to half of an objects mass multiplied by the velocity squared.
The net force on the block perpendicular to the floor is
∑ F[perp] = F[normal] - mg = 0
so that
F[normal] = (5 kg) g = 49 N
Then
F[friction] = 0.1 F[normal] = 4.9 N
so that the net force parallel to the floor is
∑ F[para] = -4.9 N = (5 kg) a
Solve for the acceleration a :
a = (-4.9 N) / (5 kg) = -0.98 m/s²
Starting with an initial velocity of 5 m/s, the box comes to a stop after time t such that
0 = 5 m/s - (0.98 m/s²) t
⇒ t ≈ 5.1 s
Answer:
Part a)

Part b)

Part c)

Part d)

Part e)

Explanation:
Part a)
initial vertical position = 1.02 m
maximum height = 1.80 m





time taken by it to reach this height



Now when it again touch the ground then its speed is given as



time taken by it to reach this height





Part b)
Horizontal velocity



Part c)
vertical velocity is the intial y direction velocity

Part d)
Take off angle is given as


Part e)
initial vertical position = 1.20 m
maximum height = 2.50 m





time taken by it to reach this height



Now when it again touch the ground then its speed is given as



time taken by it to reach this height





Correct question:
A solenoid of length 0.35 m and diameter 0.040 m carries a current of 5.0 A through its windings. If the magnetic field in the center of the solenoid is 2.8 x 10⁻² T, what is the number of turns per meter for this solenoid?
Answer:
the number of turns per meter for the solenoid is 4.5 x 10³ turns/m.
Explanation:
Given;
length of solenoid, L= 0.35 m
diameter of the solenoid, d = 0.04 m
current through the solenoid, I = 5.0 A
magnetic field in the center of the solenoid, 2.8 x 10⁻² T
The number of turns per meter for the solenoid is calculated as follows;

Therefore, the number of turns per meter for the solenoid is 4.5 x 10³ turns/m.