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Marina86 [1]
2 years ago
6

What is the velocity (in m/s) of a 550 kg roller coaster cart at the bottom of the track if it started with 990,000 J of gravita

tional potential energy at the top of the track? Assume a frictionless surface.
Physics
1 answer:
sesenic [268]2 years ago
4 0

Answer:

60m/s

Explanation:

initial energy = final energy

g.p.e = k.e

k.e = 0.5 × mass × velocity²

g.p.e = 990000J as per Question

990000Nm = 0.5 × 550 × V²

V² = 3600

V = 60m/s

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A dynamite blast at a quarry launches a rock straight upward, and 1.7 s later it is rising at a rate of 17 m/s. Assuming air res
Shtirlitz [24]

Answer:

(a) v_0= 34m/s

(b) v=14m/s

Explanation:

We can derive the initial speed of the rock from the equation of the speed in function of the time:

v=v_0-gt\\\\\implies v_0=v+gt

Using the given values for the speed at time t=1.7s, we get:

v_0=17m/s+(9.8m/s^{2})(1.7s)=34m/s

In words, the speed of the rock at launch is 34m/s (a).

Next, we use this to calculate the speed at t=4.9s:

v=v_0-gt\\\\v= 34m/s-(9.8m/s^{2})(4.9s)=-14m/s

This means that the speed of the rock at 4.9s after the launch is 14m/s (b), and the negative sign means that it is moving downwards.

3 0
3 years ago
Which best describes the runners
qaws [65]

Answer:

The answer is

Explanation:

A.

Daniela had a 5 meter head start, and Leonard caught up to her at 25 meters.

brainiest would be cool

3 0
2 years ago
Using Excel, or some other graphing software, plot the values of y as a function of x. (You will not submit this spreadsheet. Ho
Evgesh-ka [11]

Answer:

a) > x<-c(1,2,3,4,5)

> y<-c(1.9,3.5,3.7,5.1,6)

> linearmodel<-lm(y~x)

And the output is given by:

> linearmodel

Call:

lm(formula = y ~ x)

Coefficients:

(Intercept)            x  

      1.10         0.98  

b) y = 0.98 x +1.10

And if we compare this with the general model y = mx +b

We see that the slope is m= 0.98 and the intercept b = 1.10

Explanation:

Part a

For this case we have the following data:

x: 1,2,3,4,5

y: 1.9,3.5,3.7,5.1, 6

For this case we can use the following R code:

> x<-c(1,2,3,4,5)

> y<-c(1.9,3.5,3.7,5.1,6)

> linearmodel<-lm(y~x)

And the output is given by:

> linearmodel

Call:

lm(formula = y ~ x)

Coefficients:

(Intercept)            x  

      1.10         0.98  

Part b

For this case we have the following trend equation given:

y = 0.98 x +1.10

And if we compare this with the general model y = mx +b

We see that the slope is m= 0.98 and the intercept b = 1.10

7 0
3 years ago
Your mass is 65 kg. you stand on a bathroom scale in an elevator on earth. (a) what force would the scale exert when the elevato
erik [133]
I think you would use F = ma
F = 65*10
F = 650N
(The 10m/s is from acceleration due to gravity)
4 0
3 years ago
A satellite orbits Earth. The only force on the satellite is the gravitational force exerted by Earth. How does the satellite’s
bulgar [2K]

Answer:

here we can say that acceleration of the satellite is same as the gravitational field due to Earth at that location

Explanation:

As we know that gravitational field is defined as the force experienced by the satellite per unit of mass

so we will have

E = \frac{F}{m}

now in order to find the acceleration of the satellite we know by Newton's II law

F = ma

so we will have

a = \frac{F}{m}

so here we can say that acceleration of the satellite is same as the gravitational field due to Earth at that location

4 0
3 years ago
Read 2 more answers
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