The change in the kinetic energy of the monster truck during the time is 507500 J and the right option is B). 507500
<h3>What is kinetic energy?</h3>
Kinetic energy is the energy of a body due to its motion.
To calculate the increase in the kinetic energy of the monster truck, we use the formula below.
Formula:
- ΔK.E = m(v²-u²)/2............. Equation 1
Where:
- ΔK.E = Increase in kinetic energy of the monster truck
- m = mass of the monster truck
- v = final velocity of the monster truck
- u = initial velocity of the monster truck.
From the question,
Given:
- m = 5000 kg
- v = 18 m/s
- u = 11 m/s.
Substitute these values into equation 1
- ΔK.E = 5000(18²-11²)/2
- ΔK.E = 2500(324-121)
- ΔK.E = 2500(203
- ΔK.E = 507500 J
Hence, The increase in the kinetic energy of the monster truck during the time is 507500 J and the right option is B). 507500.
Learn more about kinetic energy here: brainly.com/question/25959744
Answer:
The work required is -515,872.5 J
Explanation:
Work is defined in physics as the force that is applied to a body to move it from one point to another.
The total work W done on an object to move from one position A to another B is equal to the change in the kinetic energy of the object. That is, work is also defined as the change in the kinetic energy of an object.
Kinetic energy (Ec) depends on the mass and speed of the body. This energy is calculated by the expression:

where kinetic energy is measured in Joules (J), mass in kilograms (kg), and velocity in meters per second (m/s).
The work (W) of this force is equal to the difference between the final value and the initial value of the kinetic energy of the particle:


In this case:
- W=?
- m= 2,145 kg
- v2= 12

- v1= 25

Replacing:

W= -515,872.5 J
<u><em>The work required is -515,872.5 J</em></u>
Answer:
B. It begins to rotate counterclockwise
Explanation:
It can happen that the merry-go-round remains at rest in the case when the person is standing on the axle of the merry go round whose axis is fixed to some rigid support, but here the person is standing at the center of the merry-go-round not at the axle hence the according to the conservation of angular momentum. Angular momentum is given as:

for the conservation of momentum

where:
moment of inertia of the merry-go-round
angular velocity of the merry-go-round
moment of inertia of the bicycle wheel
angular velocity of the wheel
As the person tries to stop the wheel which is rotating then the person feels an opposing force which tries to moves the whole system in its direction.
We are given with the following:
L = 25 cm
θx = <span>37.5</span>°<span>
</span>θy = 52.5°
vx = 6.8 m/s
B = 0.13i - 0.29j - 0.08k
And we are asked for the emf induced in the rod
E = B L v
Substitute the values for B and L into the equation. For v, use the given velocity along x and the angles to convert it to vector form. Then, solve for E.
Answer:
The length of the string is 0.051 meters
Explanation:
It is given that,
Tension in the string, T = 240 N
Mass of the string, m = 0.086 kg
Speed of the wave, v = 12 m/s
The speed of the wave on the string is given by :

M is the mass per unit length of the string i.e. M = m/l.......(1)
So, 

M = 1.67 kg/m
The length of the string can be calculated using equation (1) :


l = 0.051 m
So, the length of the string is 0.051 meters. Hence, this is the required solution.