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Chapter 11: Q. 3 (page 898)

Explain why an object thrown horizontally on a planet with a smaller gravitational force than Earth鈥檚 would travel farther.

Short Answer

Expert verified

An object thrown horizontally on a planet with a smaller gravitational force than Earth鈥檚 would travel farther because distance is indirectly proportional to the gravitational force of the object.

Step by step solution

01

Step 1. Given Information.

Given is the object which is thrown horizontally on the planet with smaller gravitational force than Earth's.

02

Step 2. Explanation.

The distance travelled by the object thrown horizontally is indirectly proportional to the normal force of the object thrown.

So if the force of the object is smaller than that of the Earth's gravitational force then it travels more farther.

That's why, when an object is thrown horizontally on a planet with a smaller gravitational force than Earth鈥檚 would travel farther.

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Most popular questions from this chapter

Let t=f(蟿)be a differentiable real-valued function of 蟿, and let r(t)be a differentiable vector function with three components such that f(蟿)is in the domain of rfor every value of 蟿on some interval I. Prove that drd蟿=drdtdtd蟿. (This is Theorem 11.8.)

Prove that the cross product of two orthogonal unit vectors is a unit vector.

Using the definitions of the normal plane and rectifying plane in Exercises 20 and 21, respectively, find the equations of these planes at the specified points for the vector functions in Exercises 40鈥�42. Note: These are the same functions as in Exercises 35, 37, and 39.

r(t)=et,e鈭�t,2tatt=0

Compute the cross product of the vector functions r1(t)=x1(t),y1(t)andr2(t)=x2(t),y2(t)by thinking of 鈩�2 as the xy-plane in 鈩�3.That is, let r1t=x1t,y1t,0andr2t=x2t,y2t,0,and take the cross product of these vector functions.

For each of the vector-valued functions, find the unit tangent vector.

r(t)=(cos伪t,sin伪t)
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