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natulia [17]
3 years ago
5

A box is moved 20 m across a smooth floor by a force making a downward angle with the floor, so that there is effectively a 10 N

force acting parallel to the floor in the direction of motion and a 5 N force acting perpendicular to the floor the work done is:
Physics
1 answer:
Usimov [2.4K]3 years ago
5 0

Answer:

100 J

Explanation:

From the question, The work done by the forces in moving the box is given as

W = FxdcosФ+Fydcosα................... Equation 1

Where W = Work done, Fx = force acting parallel to the floor, d = distance moved by the box, Ф = angle the parallel force makes with the floor, Fy = force acting perpendicular to the floor, α = angle the perpendicular force make with the floor.

Give: Fx = 10 N, d = 20 m, Fy = 5 N, Ф = 0°, α = 90°

Substitute into equation 1

W = 10×10×cos0°+5×20×cos90°

W = 10×10×1+0

W = 100 J.

Note: The work done by the perpendicular force is zero

Hence the work done = 100 J

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a proton of mass 1 u travelling with a speed of 3.6 x 10 ^4 m/s has an elastic head on collision with a helium nucleus initially
CaHeK987 [17]

Answer:

Velocity of the helium nuleus  = 1.44x10⁴m/s

Velocity of the proton = 2.16x10⁴m/s

Explanation:

From the conservation of linear momentum of the proton collision with the He nucleus:

P_{1i} + P_{2i} = P_{1f} + P_{2f] (1)

<em>where P_{1i}: is the proton linear momentum initial, P_{2i}: is the helium nucleus linear momentum initial, P_{1f}: is the proton linear momentum final, P_{2f}: is the helium nucleus linear momentum final </em>

<u>From (1):</u>

m_{1}v_{1i} + 0 = m_{1}v_{1f} + m_{2}v_{2f} (2)

<em>where m₁ and m₂: are the proton and helium mass, respectively, v_{1i} and v_{2i}: are the proton and helium nucleus velocities, respectively, before the collision, and v_{1f} and v_{2f}: are the proton and helium nucleus velocities, respectively, after the collision </em>

By conservation of energy, we have:

K_{1i} + K_{2i} = K_{1f} + K_{2f} (3)

<em>where K_{1i} and  K_{2i}: are the kinetic energy for the proton and helium, respectively, before the colission, and K_{1f} and  K_{2f}: are the kinetic energy for the proton and helium, respectively, after the colission </em>

<u>From (3):</u>

\frac{1}{2}m_{1}v_{1i}^{2} + 0 = \frac{1}{2}m_{1}v_{1f}^{2} + \frac{1}{2}m_{2}v_{2f}^{2} (4)  

<u>Now we have two equations: (2) ad (4), and two incognits: v_{1f} and v_{2f}. </u>

Solving equation (2) for v_{1f}, we have:

v_{1f} = v_{1i} -\frac{m_{2}}{m_{1}} v_{2f} (5)

<u>From getting (5) into (4) we can obtain the v_{2f}:</u>

v_{2f}^{2} \cdot (\frac{m_{2}^{2}}{m_{1}} + m_{2}) - 2v_{2f}v_{1i}m_{2} = 0

v_{2f}^{2} \cdot (\frac{(4u)^{2}}{1u} + 4u) - v_{2f}\cdot 2 \cdot 3.6 \cdot 10^{4} \cdot 4u = 0

From solving the quadratic equation, we can calculate the velocity of the helium nucleus after the collision:

v_{2f} = 1.44 \cdot 10^{4} \frac{m}{s} (6)

Now, by introducing (6) into (5) we get the proton velocity after the collision:

v_{1f} = 3.6 \cdot 10^{4} -\frac{4u}{1u} \cdot 1.44 \cdot 10^{4}

v_{1f} = -2.16 \cdot 10^{4} \frac{m}{s}

The negative sign means that the proton is moving in the opposite direction after the collision.

I hope it helps you!

7 0
4 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
Asap. I need an explanaton to how this works as well
bazaltina [42]

Answer:

B: Electrical - Heat

C: Electrical - kinetic

Explanation:

When the hair dryer is plugged to electric supply, electrical energy is converted into heat. When this electricity is circulated through a resistor, heat is now created in the form of losses which make the air around the resistors to be heated.

After that process, this electricity turns into kinetic energy because it forms Electric energy which moves the fan in order to create a flow with the air that's heated.

5 0
3 years ago
I need help please...
Natalka [10]
No cluuuueee :/ sowwwwyyy but good luck
6 0
3 years ago
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A glass of root beer with a scoop of ice cream floating on top and a straw sticking out.
vampirchik [111]

Answer:

These forces are all equal and cancel each other out. Gravity pushes downward on the ice cream. This can also be called the weight of the ice cream. Buoyant force pushes the ice cream upward

6 0
3 years ago
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