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san4es73 [151]
3 years ago
5

The force diagram represents a girl pulling a sled with a mass of 6.0 kg to the left with a force of 10.0 N at a 30.0 degree ang

le. There is a 1.5 N force of friction to the right. The force of gravity is 58.8 N. What is the normal force acting on the sled? Round the answer to the nearest whole number. N What is acceleration of the sled? Round the answer to the nearest tenth. m/s2
Physics
2 answers:
snow_tiger [21]3 years ago
8 0

Answer:

54N    -1.2 m/s^2

Vilka [71]3 years ago
3 0
Normal Force = 54 N
acceleration = 1.2 m/s^2

For Normal Force:
According to the force diagram, we can come up with the equation (all up and down forces):

10 sin 30 + Normal Force - 58.8 = 0
Normal Force = 53.8 N = 54 N

For acceleration:
According to the force diagram, we can come up with the equation (all left and right forces):

10 cos 30 - 1.5 = (6.0) (Acceleration)
Acceleration = 1.19 m/s^2 = 1.2 m/s^2 
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In heavy rush-hour traffic you drive in a straight line at 12 m/s for 1.5 minutes, then you have to stop for 3.5 minutes, and fi
lara31 [8.8K]

To develop this problem we will begin to determine the distances traveled in each of the segments using the linear motion kinematic equations. For this purpose, the distance traveled will be determined by the product between speed and time.

Part A is attached and indicates the graph of distance traveled vs time. And the calculations for development are found below. With the distance traveled and the total time it will be possible to find the average speed of the second part.

In 1.5 min the distance covered was,

d_1 = (1.5 min)(\frac{60s}{1min}) (12m/s) = 1080m

In the next 3.5min the distance covered is 0.

d_2 = 0

The distance covered for the next 2.5 min is

d_3 = (2.5 min)(\frac{60s}{1min})(15m/s)=2250m

Total distance covered is

d_T = d_1+d_2+d_3

d_T = 1080+0+2250

d_T = 3330m

For the average distance we need to use the total distance covered in the total time used. Then,

v_{Avg} = \frac{d_T}{t_T}

v_{Avg} = \frac{3330m}{7.5min (\frac{60s}{1min})}

v_{Avg} = 7.4m/s

6 0
3 years ago
(Score for Question 4: Click or tap here to enter text of 4 points)
astra-53 [7]

The time of motion of the ball from the vertical height is independent of the horizontal velocity.

Horizontal moving projectiles is not affected by gravity and the initial velocity is equal to the final velocity.

The time of motion of ball dropped from a vertical height is calculated as follows;

h = v_0_yt \ + \ \frac{1}{2} gt^2\\\\

where;

  • <em>h </em><em>is the vertical height</em>
  • <em>t </em><em>is the </em><em>time </em><em>of motion</em>
  • <em>g </em><em>is acceleration due to gravity</em>
  • <em />v_0_y<em> is the initial </em><em>vertical velocity</em>

From the equation above, we can conclude that time of motion of the ball from the vertical height is independent of the horizontal velocity.

If there is variation in drop time, it could be as a result of applied force when the ball is dropped. This applied force influences the initial velocity which in turn alters the drop time.

Generally, horizontal moving projectiles is not affected by gravity and the initial velocity is equal to the final velocity.

Learn more about horizontal and vertical velocity here: brainly.com/question/14354319

7 0
2 years ago
What constant acceleration is required to increase the speed of a car from 20 mi/h to 51 mi/h in 3 seconds
sdas [7]

Answer:

Explanation:

acceleration is the time rate of change of velocity

a = (51 - 20) / 3 = 10⅓ mi/hr/s

which should probably be converted to standard units.

10⅓ mi/hr/s(5280 ft/mi) / 3600 s/hr) = 15.15555... ≈ 15.2 ft/s²

which is roughly half the acceleration of gravity.

8 0
2 years ago
When the plutonium bomb was tested in New Mexico in 1945, approximately 1 gram of matter was converted into energy. Suppose anot
Softa [21]

Answer:

1.08 * 10^{14} J

Explanation:

Energy and mass are related by the famous equation developed by Albert Einstein:

E = mc^2

where m = mass and c = speed of light

This equation explains that an object with very small mass can produce a large amount of energy in reactions such as a nuclear reaction.

Hence, the energy produced by the explosion of a Plutonium bomb containing 3.6 grams of matter is:

E = 3.6 * 10^{-3} * (3 * 10^8)^2

E = 1.08 * 10^{14} J

3 0
3 years ago
The lower the angle of the slope, ________ the acceleration along the ramp, therefore, the speed at the bottom of a slope will b
pogonyaev

Answer:

Lower

Lower

gsintheta (gsinθ)

Explanation:

The sum of forces resolved parallel to the inclined plane is given by;

F - mgsinθ = 0

ma - mgsinθ = 0

ma = mgsinθ

a = gsinθ

Acceleration is proportional to angle of inclination, thus the lower the angle of the slope, lower the acceleration along the ramp.

therefore, the speed at the bottom of a slope will be lower, (velocity is directly proportional to acceleration) and, consequently, the control will be better.

The acceleration along the ramp, is gsintheta (gsinθ)

3 0
3 years ago
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