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melisa1 [442]
3 years ago
15

How are the variables speed and velocity different? how are they similar

Physics
2 answers:
avanturin [10]3 years ago
7 0
Speed, (scalar quantity), is the rate at which an object covers distance. The average speed is the distance (scalar quantity) per time ratio. Velocity is the rate at which the position changes. The average velocity is the displacement or position change (vector quantity) per time ratio.
victus00 [196]3 years ago
3 0

Answer:

Speed, being a scalar quantity, is the rate at which an object covers distance. The average speed is the distance (a scalar quantity) per time ratio. ... Velocity is the rate at which the position changes. The average velocity is the displacement or position change (a vector quantity) per time ratio.

Explanation:

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In other words, your answer is the first one, Both objects will accelerate at 9.8 m/s
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4 years ago
What hanging mass will stretch a 3.0-m-long, 0.32 mm - diameter steel wire by 1.3 mm ? The Young's modulus of steel is 20×10^10
raketka [301]

Answer:

0.71 kg

Explanation:

L = length of the steel wire = 3.0 m

d = diameter of steel wire = 0.32 mm = 0.32 x 10⁻³ m

Area of cross-section of the steel wire is given as

A = (0.25) πd²

A = (0.25) (3.14) (0.32 x 10⁻³)²

A = 8.04 x 10⁻⁸ m²

ΔL = change in length of the wire = 1.3 mm = 1.3 x 10⁻³ m

Y = Young's modulus of steel = 20 x 10¹⁰ Nm⁻²

m = mass hanging

F = weight of the mass hanging

Young's modulus of steel is given as

Y = \frac{FL}{A\Delta L}

20\times 10^{10} = \frac{F(3)}{(8.04\times 10^{-8})(1.3\times 10^{-3})}

F = 6.968 N

Weight of the hanging mass is given as

F = mg

6.968 = m (9.8)

m = 0.71 kg

7 0
4 years ago
During her high bar routine from question 2, Gabby Douglas slipped and falls from the high bar, landing on a 10 cm thick gymnast
tankabanditka [31]

a) 122.5 J

b) -122.5 J

c) -1884.6 N

d) -3769.2 N

e) -753.8 m/s^2

f) a=-76.9 g

Explanation:

a)

The kinetic energy of an object is the energy possessed by the object due to its motion.

Mathematically, it is given by:

K=\frac{1}{2}mv^2

where

m is the mass of the object

v is the speed of the object

Here, we want to find the kinetic energy of the head just before hitting the mat.

At that instant, the speed is:

v = 7 m/s

The mass of the head is:

m = 5 kg

So, the kinetic energy is

K=\frac{1}{2}(5)(7)^2=122.5 J

b)

According to the work-energy theorem, the work done by a force on an object is equal to the change in kinetic energy of the object:

W=K_f - K_i

where

W is the work done

K_f is the final kinetic energy

K_i is the initial kinetic energy

In this problem:

K_i=122.5 J is the kinetic energy of the head just before hitting the mat

K_f=0 J is the final kinetic energy (since the head comes to a stop)

So, the work done by the mat is:

W=0-122.5 = -122.5 J

The work is negative because the force exerted by the mat is opposite to the direction of motion of the head.

c)

The work exerted by a force on an object is given by

W=Fd

where

F is the force applied

d is the displacement of the object

W is the work done

In this problem:

W = -122.5 J is the work done by the mat on the head

d = 6.5 cm = 0.065 m is the displacement of the head (since it deflects the mat by this amount)

So, the average force exerted by the mat on the head is:

F=\frac{W}{d}=\frac{-122.5}{0.065}=-1884.6 N

(the negative sign indicates that the force is in direction opposite to the motion of the head)

d)

The force calculated in part d) represents the average force exerted by the mat on the head:

F_{avg}=-1884.6 N

We can assume that as the head first hits the mat, the initial force is zero, then increases at a constant rate up to a peak value of F_{peak}, then it decreases again until the head stops.

In this case, the relationship between average force and peak force is:

F_{avg}=\frac{0+F_{peak}}{2}

And therefore, the peak impact force exerted by the mat on the head is:

F_{peak}=2F_{avg}=2(1884.6)=-3769.2 N

e)

The peak acceleration of the head can be found by using Newton's second law, which states that:

F=ma

where

F is the force on the head

m is the mass of the head

a is the acceleration

Here we have:

F = -3769.2 N is the peak force

m = 5 kg is the mass of the head

So, solving for the acceleration, we find:

a=\frac{F}{m}=\frac{-3769.2}{5}=-753.8 m/s^2

f)

The value of the acceleration due to gravity is

g=9.8 m/s^2

Here we want to express the peak acceleration of the head in terms of the acceleration due to gravity; so we can write:

a=Ng

where

a=-753.8 m/s^2 is the peak acceleration

N is the ratio between the peak acceleration and the gravity acceleration

Solving for N,

N=\frac{a}{g}=\frac{-753.8}{9.8}=-76.9

This means that the peak acceleration can be written as

a=-76.9 g

6 0
3 years ago
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