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alexandr1967 [171]
3 years ago
7

An astronaut is doing repairs on the international Space Station. She throws a hammer into space with a velocity of 3m/s. How mu

ch force is needed to keep the 5kg hammer moving at 3m/s through space?
Physics
2 answers:
Rainbow [258]3 years ago
3 0

Answer:

The force is 15N

Explanation:

The formula is Force= mass × velocity.

From the question mass is 5kg, velocity is 3m/s.

F= 5×3

F= 15Newton.

Therefore the force is 15N.

anastassius [24]3 years ago
3 0

Answer:

7.5 N

Explanation:

Given data :

velocity ( V ) = 3m/s

mass of hammer ( m ) = 5 kg

Determine the force needed to keep hammer moving through space

The force needed to keep the hammer moving in space can be calculated

F = ma  ----- (1 )

m = 5 kg

a = velocity / time

velocity = displacement / time  = 3 m/s  hence displacement after 1 second = 3m

now we have to determine the acceleration using the relationship  below

V^2 =  V1^2 + 2(a)(d)

3^2 = 0 + 2(a) ( 3 )

 9 = 6a   ∴  a = 9/6 = 1.5 m/s^2

back to equation 1

F = ma

  = 5 * 1.5 =  7.5 N

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A particle moves through an xyz coordinate system while a force acts on it. When the particle has the position vector r with arr
Paha777 [63]

Answer:

The question is incomplete, below is the complete question "A particle moves through an xyz coordinate system while a force acts on it. When the particle has the position vector r with arrow = (2.00 m)i hat − (3.00 m)j + (2.00 m)k, the force is F with arrow = Fxi hat + (7.00 N)j − (5.00 N)k and the corresponding torque about the origin is vector tau = (4 N · m)i hat + (10 N · m)j + (11N · m)k.

Determine Fx."

F_{x}=-1N.m

Explanation:

We asked to determine the "x" component of the applied force. To do this, we need to write out the expression for the torque in the in vector representation.

torque=cross product of force and position . mathematically this can be express as

T=r*F

Where

F=F_{x}i+(7N)j-(5N)k  and the position vector

r=(2m)i-(3m)j+(2m)k

using the determinant method to expand the cross product in order to determine the torque we have

\left[\begin{array}{ccc}i&j&k\\2&-3&2\\ F_{x} &7&-5\end{array}\right]\\\\

by expanding we arrive at

T=(18-14)i-(-12-2F_{x})j+(12+3F_{x})k\\T=4i-(-12-2F_{x})j+(12+3F_{x})k\\\\

since we have determine the vector value of the toque, we now compare with the torque value given in the question

(4Nm)i+(10Nm)j+(11Nm)k=4i-(-12-2F_{x})j+(12+3F_{x})k\\

if we directly compare the j coordinate we have

10=-(-12-2F_{x})\\10=12+2F_{x}\\ 10-12=2F_{x}\\ F_{x}=-1N.m

8 0
3 years ago
At which of the following angles will the sunlight received at a location on Earth spread out over the largest area?
AleksandrR [38]

The angle at which the sunlight received at a location on Earth spread out over the largest area is 10°. Last option is correct.

<h3>What is sunlight?</h3>

The light coming from the Sun reaching the Earth's surface is called as Sunlight.

When the sun is overhead, the intensity is high because sun's rays are perpendicular to the earth's surface, so the energy spreads over a small area and the heat is too high in that region.

When, the angle is smaller, the sunlight will spread out over a larger area.

Thus, at 10° the sunlight received at a location on Earth spread out over the largest area. Last option is correct.

Learn more about Sunlight.

brainly.com/question/23504828

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3 0
2 years ago
What are plants and animals that get their energy from eating other things?
Zanzabum

Answer:

B. Consumers.

Explanation:

4 0
3 years ago
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What would happen to the brightness of the bulbs if the switch was opened​
jeka57 [31]
When the switch is open then no current can flow, on the other hand, when it is closed, current will pass through. When only “bulb a” is connected to the battery then more current is flowing to “bulb a” causing it to be bright. So the light of “bulb a” will be dimmer.
6 0
3 years ago
In addition to their remarkable top speeds of almost 60 mph, cheetahs have impressive cornering abilities. In one study, the max
Sav [38]

Answer:

the minimum value of the coefficient of static friction between the ground and the cheetah's feet is 1.94

Explanation:

Given that ;

the top speed of Cheetahs is almost 60 mph

In cornering abilities ; the maximum centripetal acceleration of a cheetah was measured to be = 19 m/s^2

The objective of this question is to determine the what minimum value of the coefficient of static friction between the ground and the cheetah's feet is necessary to provide this acceleration?

From the knowledge of Newton's Law;

we knew that ;

Force F = mass m × acceleration a

Also;

The net force  F_{net}  = frictional force \mu_k mg

so we can say that;

m×a = \mu_k mg

where;

the coefficient of static friction \mu_k is:

\mu_k = \dfrac{m*a}{m*g}

\mu_k = \dfrac{a}{g}

\mu_k = \dfrac{19 \ m/s^2}{9.81 \ m/s^2}

\mathbf{\mu_k} = 1.94

Hence; the minimum value of the coefficient of static friction between the ground and the cheetah's feet is 1.94

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