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sladkih [1.3K]
3 years ago
7

A force gives a 5.0 kg object an acceleration of 2.0 m/s 2. The same force would give a 20 kg object an acceleration of _____. 0

.5 m/s 2 2.0 m/s 2 4.9 m/s 2 8.0 m/s 2
Physics
2 answers:
belka [17]3 years ago
8 0

Answer:

The acceleration of the object is 0.5 m/s²

a is correct.

Explanation:

Given that,

Mass of object = 5.0 kg

Acceleration a = 2.0 m/s^2

Using newton's second law

The force is the product of the mass of the object and acceleration.

F = ma

Put the value of m and a

F = 5.0\times2.0

F = 10\ N

Now, The same force would give a 20 kg object

So, Using newton's second law again

F = ma

The acceleration is

a =\dfrac{F}{m}

Put the value of m and F

a = \dfrac{10}{20}

a =0.5 m/s^2

Hence, The acceleration of the object is 0.5 m/s²

Oksi-84 [34.3K]3 years ago
6 0

m = 5 kg

a = 2 m/s²

to find the force that accelerates the 4 kg object @ 2 m/s²

F = ma = 5 kg x 2 m/s² = 10 N

To find what acceleration 10 N would give a 20 kg object

a = F/m = 10 N/20 kg = 0.5 m/s

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3 years ago
A crane is used to lower weights into a lake for an underwater construction project. Determine the tension in the cable of the c
atroni [7]

Answer:

Tension in the cable = 591292.8 N or 591.3 kN

Explanation:

Tension in the cable = Weight of object in air - upthrust/bouyancy due to the liquid

Weight of object in air = mass * acceleration due to gravity, g

Since mass is not given, it is obtained from the formula, mass = density * volume

Volume of the sphere = 4/3πr³ where r, radius = 2 m; π = 22/7

volume = 4/3 * 22/7 * (2m)³

volume of sphere = 33.52 m³

Density of concrete sphere = specific gravity * density of water

where, specific gravity = 2.8, density of water = 1000 kg/m³

density of concrete =  2.8 * 1000 kg/m³

density of concrete = 2800 kg/m³

acceleration due to gravity, g = 9.8 m/s²

Thus, weight of concrete = 2800 kg/m³ * 33.52 m³ * 9.8 m/s² = 919788.8 N

Upthrust = density of water * volume of sphere * g

Upthrust = 1000 kg/m³ * 33.52 m³ * 9.8 m/s² = 328496 N

The tension in the cable is the calculated as below;

Tension in the cable = Weight of object in air - upthrust/bouyancy due to the liquid

Tension in cable = 919788.8 N - 328.496 N = 591292.8 N

Therefore, tension in the cable is 591292.8 N or 591.3 kN

5 0
3 years ago
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