Answer:
the acceleration of the car is 5m/s2
Answer:
h = 14.4 m
Explanation:
The height can be calculated by energy conservation:

<u>Where</u>:
W: is the work
: is the potential energy
: is the rotational kinetic energy
: is the transitional kinetic energy
Initially, the wheel has rotational kinetic energy and translational kinetic energy, and then when stops it has potential energy.


<u>Where</u>:
I: is the moment of inertia = 0.800 mr²
ω₀: is the angular speed = 25.0 rad/s
m: is the mass = P/g = 397 N/9.81 m*s⁻² = 40.5 kg
v: is the tangential speed = ω₀r²
Now, by solving the above equation for h we have:

Therefore, the height is 14.4 m.
I hope it helps you!
Answer:
Mass = 16.67kg
Explanation:
Given the following data;
Velocity = 4.5m/s
Momentum = 75kgm/s
To find the mass;
Momentum can be defined as the multiplication (product) of the mass possessed by an object and its velocity. Momentum is considered to be a vector quantity because it has both magnitude and direction.
Mathematically, momentum is given by the formula;
Momentum = mass * velocity
Substituting into the equation, we have
75 = mass * 4.5
Mass = 75/4.5
Mass = 16.67kg
Therefore, the ball's mass is 16.67 kilograms.