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Schach [20]
3 years ago
9

A 48.0-kg astronaut is in space, far from any objects that would exert a significant gravitational force on him. He would like t

o move toward his spaceship, but his jet pack is not functioning. He throws a 0.720-kg socket wrench with a velocity of 5.00 m/s in a direction away from the ship. After 0.500 s, he throws a 0.800-kg spanner in the same direction with a speed of 8.00 m/s. After another 9.90 s, he throws a mallet with a speed of 6.00 m/s in the same direction. The mallet has a mass of 1.20 kg. How fast is the astronaut moving after he throws the mallet?(assume all speeds are relative to the spaceship). m/s
Physics
1 answer:
marusya05 [52]3 years ago
5 0

Answer:

The astronaut is moving at a speed of 0.36m/s

Explanation:

Speed here corresponds to velocity

The astronaut's mass = 48kg

velocity of astronaut = ?

mass of socket = 0.72kg

velocity of socket = 5m/s

mass of the spanner = 0.8kg

velocity of spanner = 8m/s

change in time = 0.05 -0 = 0.05sec

mass of the mallet = 1.2kg

velocity of mallet = 6m/s

change in time = 9.9 -0 = 9.9sec

To find the astronaut velocity, we would calculate the total momentum which is the astronaut.

∑momentum (M) = ∑astronaut momentum

∑M = ∑astronaut M

∑astronaut M = M of socket + M of spanner + M of mallet

momentum = mass × velocity

(mass × velocity)of astronaut = (0.72×5) + (0.8×8) + (1.2×6)

48 × velocity of astronaut= 3.6 + 6.4 + 7.2

48 × velocity of astronaut= 17.2

velocity of astronaut = 17.2/48

velocity of astronaut = 0.36m/s

The astronaut is moving at a speed of 0.36m/s

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stiv31 [10]

Answer

given,

time interval = 11.3 s

a) initial velocity, vi = 15 m/s

   final velocity, v_f = -5.30 m/s

      a = \dfrac{v_f-v_i}{t}

      a = \dfrac{-5.30 -15}{11.3}

             a = -1.79 m/s²

   the direction is along left side

b)  initial velocity, vi = -5.30 m/s

   final velocity, v_f = -15 m/s

      a = \dfrac{v_f-v_i}{t}

      a = \dfrac{-15-(-5.30)}{11.3}

             a = -0.858 m/s²

   the direction is along left side

c) initial velocity, vi = 15 m/s

   final velocity, v_f = -15 m/s

      a = \dfrac{v_f-v_i}{t}

      a = \dfrac{-15-(15)}{11.3}

             a = -2.65 m/s²

   the direction is along left side

5 0
3 years ago
What os the konectic energy of 620.0kg coaster moving with a velocity of 9.00m/s
luda_lava [24]
Hope this helps you.

4 0
4 years ago
An object, with mass 72 kg and speed 28 m/s relative to an observer, explodes into two pieces, one 2 times as massive as the oth
IRINA_888 [86]

Answer:

14112 J

Explanation:

When the 72 Kg mass explodes into two, one mass is twice the other so 72/3=24 Kg

M1= 24 kg, M2= 72-24=48 kg

From law of conservation of linear momentum, the sum of initial and final momentum are equal. p=mv where p is momentum, m is mass and v is velocity. Fir this case, since the less massive piece stops, its final velocity is zero.

72*28=48v2

V2=72*28/48=42 m/s

Difference between initial and final kinetic energy will be

\triangle KE= 0.5(Mv^{2}-m2v2^{2})\\\triangle KE= 0.5(72*28^{2}-48*42^{2})=-14112 J

Therefore, from observers reference, kinetic energy of 14112 J is added

5 0
4 years ago
The resistance and the magnitude of the current depend on the path that the current takes. The drawing shows three situations in
mihalych1998 [28]

Answer:

a) Ra = 0.517 Ω

Rb = 0.032 Ω

Rc = 0.129 Ω

b) Ia = 5.8A

Ib = 93.75A

Ic = 23.2 A

Explanation:

a) The resistance is equal to:

Resistance for case a:

R_{a} =\frac{pL_{a} }{A_{a} } =\frac{p*4*L_{0} }{2L_{0}*L_{0}  } =\frac{2p}{L_{0} }

Where

p = 1.5x10⁻²Ωm

L0 = 5.8 cm = 0.058 m

R_{a} =\frac{2*1.5x10^{-2} }{0.058} =0.517ohm

Resistance for case b:

R_{b} =\frac{pL_{b} }{A_{b} } =\frac{pL_{0}}{2L_{0}4L_{0} } =\frac{p}{8L_{0}} =\frac{1.5x10^{-2} }{8*0.058} =0.032ohm

Resistance for case c:

R_{c} =\frac{pL_{c}}{A_{c} } =\frac{p2L_{0}}{L_{0}4L_{0}} =\frac{p}{2L_{0}} =\frac{1.5x10^{-2} }{2*0.058} =0.129ohm

b) The current is equal to:

Current for case a:

I_{a} =\frac{V}{R_{a} } =\frac{3}{0.517} =5.8A

Current for case b:

I_{b} =\frac{V}{R_{b} } =\frac{3}{0.032} =93.75A

Current for case c:

I_{c} =\frac{V}{R_{c} } =\frac{3}{0.129} =23.2A

4 0
3 years ago
It takes a car traveling at 18 m/s, 240 seconds to reach Chick-Fil-A from the school. Determine how far Chick-Fil-A is from the
777dan777 [17]

Answer:

The requested distance is 4320 meters

Explanation:

We can use the formula for velocity in this movement at constant velocity (v), which is defined as the quotient between the distance covered divided the time it took:

v=\frac{distance}{time}

Since we know the velocity and the time, we can solve for the distance:

\neq v=\frac{distance}{time} \\18\,\frac{m}{s}  = \frac{distance}{240\,\,s} \\distance=18\,*\,240\,\,m\\distance= 4320\,\,m

8 0
3 years ago
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