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swat32
3 years ago
12

A woman on a bicycle traveling at 10 m/s on a horizontal road stops pedaling as she starts up a hill inclined at 4.0º to the hor

izontal. If friction forces are ignored, how far along the hill does she travel before stopping?

Physics
1 answer:
IrinaK [193]3 years ago
6 0
The kinetic energy K = 0.5 * m * v² must be equal to the potential energy U = m * g * h.

m mass
v velocity
h height
g = 9.81m/s²

The mass m cancels out:
0.5 * v² = g * h
Solve for height h and transform to distance traveled.
(sin (4°) = height / distance)

You might be interested in
A 0.600 kg toy car is powered by one 9V battery (9.00 V) connected directly to a small DC motor. The car has an effective energy
valina [46]

Answer:

The average current I supplied to the cars motor is 0.225 Amperes.

Explanation:

The mass of the toy car is given as, m = 0.6 kg

The toy car operates at a steady speed of, v =  3.43 m/s.

It achieves the steady speed after a time, t = 5.69 seconds.

The total kinetic energy of the car is given by,

E = \frac{1}{2} m v^2

= 0.5 × 0.6 × (3.43)^2

= 3.53 Joules

Since the efficiency of the motor is 30.6%  = 0.306

The electrical energy equivalent is supplied to motor  = \frac{3.53}{0.306}  = 11.54 Joules.

The electrical energy is given by P × t = I × V × t  = 11.54 Joules

P is the electric power where P = I × V where V is the voltage of the cell and is the average current, I.

Therefore we can write I × 9 × 5.69 = 11.54 Joules.

So the average current I = \frac{11.54}{9 \times 5.69 } = 0.225 Amperes.

3 0
3 years ago
The flywheel of a steam engine runs with a constant angular velocity of 150 rev/min. When steam is shut off, the friction of the
xz_007 [3.2K]

Answer:

a) -1.14 rev/min²

b) 9900 rev

c) -9.92×10⁻⁴ m/s²

d) 30.8 m/s²

Explanation:

First, convert hours to minutes:

2.2 h × 60 min/h = 132 min

a) Angular acceleration is change in angular velocity over change in time.

α = (ω − ω₀) / t

α = (0 rev/min − 150 rev/min) / 132 min

α = -1.14 rev/min²

b) θ = θ₀ + ω₀ t + ½ αt²

θ = 0 rev + (150 rev/min) (132 min) + ½ (-1.14 rev/min²) (132 min)²

θ = 9900 rev

c) The tangential component of linear acceleration is:

a_t = αr

First,  convert α from rev/min² to rad/s²:

-1.14 rev/min² × (2π rad/rev) × (1 min / 60 s)² = -1.98×10⁻³ rad/s²

Therefore:

a_t = (-1.98×10⁻³ rad/s²) (0.50 m)

a_t = -9.92×10⁻⁴ m/s²

d) The magnitude of the net linear acceleration can be found from the tangential component and the radial component:

a² = (a_t)² + (a_r)²

The radial component is the centripetal acceleration:

a_r = v² / r

a_r = ω² r

First, convert 75 rev/min to rad/s:

75 rev/min × (2π rad/rev) × (1 min / 60 s) = 7.85 rad/s

Find the radial component:

a_r = (7.85 rad/s)² (0.50 m)

a_r = 30.8 m/s²

Now find the net linear acceleration:

a² = (-9.92×10⁻⁴ m/s²² + (30.8 m/s²)²

a = 30.8 m/s²

5 0
3 years ago
Suppose you are asked to find the amount of time t, in seconds, it takes for the turntable to reach its final rotational speed.
Annette [7]

Answer:

option (D)

Explanation:

Here initial rotation speed is given, final rotation speed is given and asking for time.

If we use

A) θ=θ0+ω0t+(1/2)αt2

For this equation, we don't have any information about the value of angular displacement and angular acceleration, so it is not useful.

B) ω=ω0+αt

For this equation, we don't have any information about angular acceleration, so it is not useful.

C) ω2=ω02+2α(θ−θ0)

In this equation, time is not included, so it is not useful.

D) So, more information is needed.

Thus, option (D) is true.

5 0
3 years ago
Please help! you are amazing! brainliest!
ELEN [110]
I think it’s a nebula i hope it’s right
8 0
3 years ago
Read 2 more answers
A man is standing on the shore of a beach, up to his knees in water. Every second two waves hit him. What is the frequency of th
laila [671]

Answer:

f = 2 Hz

Explanation:

The frequency of a wave is defined as the no. of waves passing per unit of time. Therefore, the frequency of a wave can be calculated by the following formula:

f = \frac{n}{t}

where,

f = frequency of the wave = ?

t = time passed = 1 s

n = no. of waves passing in time t = 2

Therefore,

f = \frac{2}{1\ s}

<u>f = 2 Hz</u>

3 0
3 years ago
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