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-Dominant- [34]
2 years ago
12

A motorboat starting from rest travels in a straight line on a lake. If the boat reahes a speed of 8.0m/s in 10s what is the boa

t's average acceleration?
Physics
1 answer:
victus00 [196]2 years ago
5 0

The boat's average acceleration is  0.8 m/s².

<h3>What is acceleration?</h3>

Acceleration is defined as the rate change of velocity with time.

acceleration a = (Δv) / (Δt)

A motorboat starting from rest travels in a straight line on a lake. If the boat reaches a speed of 8.0m/s in 10s.

The final velocity v = 8 m/s and it starts from rest, then its initial velocity v = 0 m/s.

Time taken for the change in speed t = 10 s.

The acceleration is given by

a = (8 - 0)/ 10

a = 0.8 m/s²

Thus, the boat's average acceleration is 0.8 m/s².

Learn more about acceleration.

brainly.com/question/12550364

#SPJ1

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A raindrop has a mass of 7.7 × 10-7 kg and is falling near the surface of the earth. Calculate the magnitude of the gravitationa
goldfiish [28.3K]

Given that the mass of the raindrop is

m=7.7\times10^{-7}\text{ kg}

The acceleration due to gravity is g = 9.81 m/s^2

We have to find

(a) Magnitude of the gravitational force exerted on the raindrop by earth

(b)Magnitude of the gravitational force exerted on the earth by the raindrop

(a) The formula to calculate the magnitude of the gravitational force exerted on the raindrop by the earth is

F=mg

Substituting the values, the gravitational force exerted on the raindrop by the earth is

\begin{gathered} F=7.7\times10^{-7}\times9.81 \\ =7.55\times10^{-6}\text{ N} \end{gathered}

(b) According to Newton's third law,

If F' is the gravitational force exerted on the earth by the raindrop, then

F=-F^{\prime}

Here, the negative sign indicates that both forces act in opposite direction.

The gravitational force exerted on the earth by the raindrop is

F^{\prime}\text{ = -7.55}\times10^{-6}\text{ N}

And the magnitude of the gravitational force exerted on the earth by the raindrop is

7.55\times10^{-6}\text{ N}

Thus, the magnitude of both forces is equal.

5 0
1 year ago
A set of twins works in the willis tower, a very tall office building in chicago. one works on the top floor and the other works
emmasim [6.3K]
...................................................
3 0
3 years ago
A metal sign for a car dealership is a thin, uniform right triangle with base length b and height h. the sign has mass m.
Nesterboy [21]

(a) The moment of inertia of the sign for rotation about the side of length h is 1.24 kgm².

(b) The kinetic energy of the sign when it is rotating about an axis is 141.37 J.

<h3>Moment of inertia of the triangular sign</h3>

The moment of inertia of the sign for rotation about the side of length h is calculated as follows;

I = 2 x ¹/₃M(b/2)²

I = 2 x ¹/₃Mb² x ¹/₄

I = ¹/₆Mb²

I = ¹/₆ x 4.4 x 1.3²

I = 1.24 kgm²

<h3>Rotational kinetic energy of the ball</h3>

K.E(rot) = ¹/₂Iω²

where;

  • ω is angular speed = 2.4 rev/s = 2.4 x (2π rad)/s = 15.1 rad/s

K.E(rot) = ¹/₂(1.24)(15.1)²

K.E(rot) = 141.37 J

Learn more about rotational kinetic energy here: brainly.com/question/25803184

#SPJ1

3 0
2 years ago
Marco is conducting an experiment. He knows the wave that he is working with has a wavelength of 32.4 cm. If he measures the fre
vekshin1

This question is incomplete; here is the complete question:

Marco is conducting an experiment. He knows the wave that he is working with has a wavelength of 32.4 cm. If he measures the frequency as 3 hertz, which statement about the wave is accurate?

A. The wave has traveled 32.4 cm in 3 seconds.

B. The wave has traveled 32.4 cm in 9 seconds.

C. The wave has traveled 97.2 cm in 3 seconds.

D. The wave has traveled 97.2 cm in 1 second.

The answer to this question is D. The wave has traveled 97.2 cm in 1 second.

Explanation:

The frequency of a wave, which is in this case 3 hertz, represents the number of waves that go through a point during 1 second. According to this, if the frequency of the wave is 3 hertz this means in 1 second there were 3 waves. Moreover, if you multiply the wavelength (32.4cm) by the frequency (3) you will know the distance the wave traveled in 1 second: 32.4 x 3 =  97.2 cm. This makes option D the correct one as the distance in 1 second was 97.2 cm.

8 0
3 years ago
An iron bal of mass 20kg is rolling on a flat surface. On applying force, the velocity change from 17ms to 27m/s in 5s. Calculat
pentagon [3]

Answer:

40 N

Explanation:

We first need to calculate the acceleration of the tron ball.

Since acceleration, a = (v - u)/t where u = initial velocity of iron ball = 17m/s, v = final velocity of iron ball = 27m/s and t = time taken for the change in velocity = 5 s.

So, a = (v - u)/t

= (27 m/s - 17 m/s)/5 s

= 10 m/s ÷ 5 s

= 2 m/s²

We know force on iron ball, F = ma where m = mass of iron ball = 20 kg and a = acceleration = 2 m/s²

So, F = ma

= 20 kg × 2 m/s²

= 40 kgm/s²

= 40 N

So, the magnitude of the force on the iron ball is 40 N.

4 0
3 years ago
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