Hello:) how to do 3?:)

A 96.0 kg hoop rolls along a horizontal floor so that its center of mass has a speed of 0.240 m/s. How much work must be done on

Ede4ka [16]

Answer:

The work done by the hoop is equal to 5.529 Joules.

Explanation:

Given that,

Mass of the hoop, m = 96 kg

The speed of the center of mass, v = 0.24 m/s

To find,

The work done by the hoop.

Solution,

The initial energy of the hoop is given by the sum of linear kinetic energy and the rotational kinetic energy. So,

$K_i=\dfrac{1}{2}mv^2+\dfrac{1}{2}I\omega^2$

I is the moment of inertia, $I=mr^2$

Since, $\omega=\dfrac{v}{r}$

$K_i=mv^2$

$K_i=96\times (0.24)^2=5.529\ J$

Finally it stops, so the final energy of the hoop will be, $K_f=0$

The work done by the hoop is equal to the change in kinetic energy as :

$W=K_f-K_i$

W = -5.529 Joules

So, the work done by the hoop is equal to 5.529 Joules. Therefore, this is the required solution.

4 0

3 years ago

A 27.0-g object moving to the right at 21.5 cm/s overtakes and collides elastically with a 11.0-g object moving in the same dire

7nadin3 [17]

Answer:

final speed of the first object: 17.73 cm/s

final speed of the second object: 24.23 cm/s

Explanation:

Data:

mass of the first object, m1 = 27.0 g

mass of the second object, m2 = 11.0 g

initial speed of the first object, v1i = 21.5 cm/s

initial speed of the second object, v2i = 15 cm/s

final speed of the first object, v1f = ? cm/s

final speed of the second object, v2f = ? cm/s

Elastic collisions formula:

v1f = (m1 - m2)/(m1 + m2) * v1i + 2*m2/(m1 + m2) * v2i

v1f = (27 - 11)/(27 + 11) * 21.5 + 2*11/(27 + 11) * 15

v1f = 17.73 cm/s

v2f = 2*m1/(m1 + m2) * v1i + (m2 - m1)/(m1 + m2)*v2i

v2f = 2*27/(27 + 11) * 21.5 + (11 - 27)/(27 + 11)*15

v2f = 24.23 cm/s

8 0

3 years ago

A woman falls to the ground while wearing a parachute. The air resistance of a parachute is 500N. If the woman falls at a consta

Verizon [17]

Answer:

500N

as in case of uniform motion net force acting is zero

5 0

4 years ago

Calculate the maximum absolute uncertainty for R if:

erma4kov [3.2K]

Answer:

ΔR = 5 s

Explanation:

The absolute uncertainty or error in an expression is

ΔR = | $\frac{dR}{dB}$ | ΔB + | $\frac{dR}{dA}$ | ΔA

the absolute value guarantees to take the unfavorable case, that is, the maximum error.

We look for the derivatives

$\frac{dR}{dB}$ = 1

$\frac{dR}{dA}$ = -1

we substitute

ΔR = 1 ΔB + 1 ΔA

of the data

ΔB = 3 s

ΔA = 2 s

ΔR = 3 + 2

ΔR = 5 s

7 0

3 years ago

What is a parallel circuit?

lawyer [7]

Parallel circuit has two or more paths for current to flow through. Voltage is the same across each component of the parallel circuit. The sum of the currents through each path is equal to the total current that flows from the source.

8 0

3 years ago