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djverab [1.8K]
3 years ago
14

When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain con

stant force acts upon an object
with mass 4 kg, the acceleration of the object is 5 m/s. When the same force acts upon another object, its acceleration is 2 m/s.. What is the mass of this
object?
Mathematics
1 answer:
marusya05 [52]3 years ago
4 0

Answer: The mass of the object is 10 kg

Step-by-step explanation:

According to Newton's second law of motion, the force F applied to an object with mass m is directly proportional to its acceleration a:

F=ma (1)

If we isolate a:

a=\frac{F}{m} (2) This means the acceleration of the object varies inversely with its mass

Now, we are given the following data to calculate a constant force using (1):

m_{1}=4 kg

a_{1}=5 m/s^{2}

F=m_{1}a_{1} (3)

F=(4 kg)(5 m/s^{2) (4)

F=20 N (5)

If we apply this same force calulated in (4) in another object with an acceleration of a_{2}=2 m/s^{2}, its mass m_{2} will be:

F=m_{2}a_{2} (6)

20 N=m_{2}2 m/s^{2} (7)

Finding  m_{2}:

m_{2}=10 kg This is the mass of the object

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Let the no. of stars one can expect to see at Bryce Canyon be x.

Given that : No. of stars visible in the night sky = 2000

Also, given that, it is 4/15 of x.

Now, we have

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5 0
2 years ago
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hram777 [196]

Answer:

x = 8

Step-by-step explanation:

Step 1: Write equation

-5 + x = 3

Step 2: Solve for <em>x</em>

  1. Add 5 to both sides: x = 8

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

-5 + 8 = 3

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Point p is the midpoint of de dp 6x+4 and de = 14x -10
vfiekz [6]

Answer:

x = 9

Step-by-step explanation:

A midpoint is found by adding up two numbers and then dividing by 2 (Also known as an average). Therefore, a midpoint marks half of a line. That means that DP is 1/2 of DE. We can now form an equation. 6x + 4 = 1/2 * (14x - 10), making 6x + 4 = 7x - 5 by using the distributive property. Next, isolate x by subtracting by 6x on both sides and adding by 5 on both sides. You would get x = 5 + 4, which means that x = 9.

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Marysya12 [62]

Answer:

16, x+4^2

Step-by-step explanation:

To find the perfect square with an A factor of 1, just double the next number.

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Answer:

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