A rod of mass M = 116 g and length L = 49 cm can rotate about a hinge at its left end and is initially at rest. A putty ball of mass m = 14 g, moving with speed V= 6 m/s, strikes the rod at angle A = 37º a distance D=L/4 from the end and sticks to the rod after the collision. (A) What is the total moment of inertia, 1, with respect to the hinge, of the rod-ball-system after the collision?
(B) Enter an expression for the angular speed w of the system immediately after the collision, in terms of m, V, D, 0,
(C) Calculate the rotational kinetic energy, in joules, of the system after the collision

Answers

Answer 1

Answer:

Final answer:

We calculate the total moment of inertia of the rod-ball system after the collision by adding the moment of inertia of the rod and the added contribution from the putty ball. With this, we find the post-collision angular speed using Conservation of Angular Momentum. The rotational kinetic energy is then determined from this angular speed.

Explanation:

To solve this problem, we first need to calculate the moment of inertia of the combined system of the rod and the putty. The moment of inertia of an object is given by its mass times the square of its distance from the axis of rotation. That gives us I = 1/3 ML2 + m(D + L/2)2

Next we use Conservation of Angular Momentum to find the post-collision angular speed (ω). The initial momentum (mVD) is equal to the final moment of inertia times the final angular speed, so ω = mVD / I.

Finally, we calculate the rotational kinetic energy, which is given by ½ I ω2.

Learn more about moment of inertia here:

brainly.com/question/30051108

#SPJ12

Related Questions

An elevator is used to either raise or lower sacks of potatoes. In the diagram, a sack of potatoes of mass 10 kg is resting on a scale that is resting on the floor of an accelerating elevator. The scale reads 12 kg. What is the acceleration of the elevator?
scientists hypothesize that oxygen began to accumulate in earth's atmosphere of living things with the ability to?
Does gravity have an effect on the potential difference of a battery?
What is the distance an object would be from Earth if its parallax were one arcsecond?a. a parsec b. a light-year c. an arcminute d. an angular diameter
How is wave velocity calculated?

Which situations contain unbalanced forces? Check all that apply.

Answers

Answer: A book falls to the floor.

A car skids to a stop.

A foam ball launches

Explanation:

Answer:

Explanation:

Without seeing the options i can tell you this:

A balanced force is equal on both sides

The friction would equal the force

The amount on the left (friction side) would equal the amount on right (force side)

Or the net force would equal zero

You should post the answer options for more help

What is the relation between Kilowatt-hour and joule ?

Answers

Answer: The relationship between " kWh " and " Joules " are :

1 kWh=1000 Watt×[60×60] seconds

1 kWh=10

W×3600 s

1 kWh=3.6×10

Speed / 16.0 m/s 12.0- 8.0 4.0 0 0 0.5 1.0 1.5 time / seconds 2.0 2.5 3.0 calculate the distance that the car travels in the first 0.5 seconds calculate the distance that the car travels in the first 0.5 seconds

Answers

Answer: 8 m

Explanation:

From the equation distance = velocity * time, we can find the distance from a velocity vs. time graph by finding the area under the curve, since we get that area from multiplying velocity and time together.

For the first 0.5 seconds, the velocity is 16 m/s and the change in time is 0.5.

16 * 0.5 = 8 m.

Learn more about the relationship between distance and velocity here: brainly.com/question/29409777

Plugging a lamp into an electrical outlet gives the lamp a source ofa. current.
b. voltage.
c. resistance.
d. all of these

Answers

Plugging a lamp into an electrical outlet gives the lamp a source of voltage. The answer is letter B. The rest of the choices do not answer the question above.

An elevator is initially moving upward at a speed of 12.60 m/s. The elevator experiences a constant downward acceleration of magnitude 3.60 m/s2 for 2.97 s.